Definition of Matrix

Definition of Matrix:

  • A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns.
  • The dimensions of a matrix are given by the number of rows and columns it has, often written as "m x n".
  • Matrices are used in various areas of mathematics, science, and engineering to represent data, equations, and transformations.
  • A scalar is a special type of matrix with just one element, often used to represent constants or coefficients.
  • Matrices can be added, subtracted, multiplied, and transformed in various ways to perform operations on the data they represent.

Formulas:

Definition of Matrix: $$A = [a_{ij}]_{m \times n}$$